NNS: Nonlinear Nonparametric Statistics
NNS (Nonlinear Nonparametric Statistics) leverages partial moments – the fundamental elements of variance that asymptotically approximate the area under f(x) – to provide a robust foundation for nonlinear analysis while maintaining linear equivalences. Designed for real-world data that violates symmetry, linearity, or distributional assumptions, NNS delivers a comprehensive suite of advanced statistical techniques, including: Numerical integration, Numerical differentiation, Clustering, Correlation, Dependence, Causal analysis, ANOVA, Regression, Classification, Seasonality, Autoregressive modeling, Normalization, Stochastic superiority / dominance and Advanced Monte Carlo sampling. All routines based on: Viole, F. and Nawrocki, D. (2013), Nonlinear Nonparametric Statistics: Using Partial Moments (ISBN: 1490523995, Second edition: <https://ovvo-financial.github.io/NNS/book/>).
Documentation:
| Reference manual: |
NNS.html , NNS.pdf
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| Vignettes: |
01. Getting Started with NNS: Overview (source, R code)
02. Getting Started with NNS: Partial Moments (source, R code)
03. Getting Started with NNS: Correlation and Dependence (source, R code)
04. Getting Started with NNS: Normalization and Rescaling (source, R code)
05. Getting Started with NNS: Sampling and Simulation (source, R code)
06. Getting Started with NNS: Comparing Distributions (source, R code)
07. Getting Started with NNS: Clustering and Regression (source, R code)
08. Getting Started with NNS: Classification (source, R code)
09. Getting Started with NNS: Forecasting (source, R code)
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